Jason Lee, Professor in Residence, School of Mechanical, Aerospace, and Manufacturing Engineering, UConn

Chemistry Colloquium: Environmental Health Services, UConn

Chemistry Colloquium: Environmental Health Services, UConn

Join us if your an undergraduate student looking to learn more about how to ask for and organize letters of recommendation.

For certain PDEs, it is not always possible to find smooth solutions; hence traditionally, we tend to relax the requirement of smoothness to finding weak (distributional) solutions to those PDEs, using the theory of Sobolev spaces. In dealing with Sobolev spaces, especially for unbounded regions, we encounter functions that are locally integrable but are not globally integrable, but have globally finite Sobolev energy. Such functions are called Dirichlet-Sobolev functions. Constant functions are certainly of this kind, with zero energy. It is natural to ask whether such functions are always, after subtracting a suitable constant that may depend on the function, globally integrable. The focus of this talk is to present results related to this question in the context of complete metric measure spaces (including Riemannian manifolds and Carnot-Caratheodory spaces) equipped with a locally doubling measure supporting a local Poincare type inequality.

Thursday, Jan. 23rd National Lampoon's Vacation Friday, Jan. 24th Ferris Bueller's Day Off Saturday, Jan. 25th Planes, Trains, and Automobiles Thursday, Jan 30th The Hangover Friday, Jan. 31st 21 Jump Street Saturday, Feb. 1st Groundhog Day Thursday, Feb. 6th Get Out Friday, Feb 7th Us Saturday, Feb. 8th Nope Thursday, Feb. 13th NO MOVIE Friday, Feb. 14th Crazy Rich Asians Saturday, Feb. 15th 10 Things I Hate About You